Scanning tunneling spectroscopic evidence for magnetic field-induced microscopic orders in the high-$T_c$ superconductor YBa${}_2$Cu${}_3$O${}_{7-\delta }$

Abstract

We report spatially resolved tunneling spectroscopic evidence for field-induced microscopic orders in a high-$T_c$ superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{7-\delta }$. The spectral characteristics inside vortices reveal a pseudogap ($V_{\mathrm{CO}}$) larger than the superconducting gap ($\Delta \_\mathrm{SC}$) as well as a subgap ($\Delta \hat{\prime }$) smaller than $\Delta \_\mathrm{SC}$, and the spectral weight shifts steadily from ${\Delta }_{\mathrm{SC}}$ to $V_{\mathrm{CO}}$ and $\Delta \hat{\prime }$ upon increasing magnetic field. Additionally, energy-independent conductance modulations at 3.6 and 7.1 lattice constants along the Cu-O bonding directions and at 9.5 lattice constants along the nodal directions are manifested in the vortex state. These wave-vectors differ fundamentally from the strongly dispersive modes due to Bogoliubov quasiparticle scattering interferences and may be associated with field-induced microscopic orders of pair-, charge- and spin-density waves.

Paper updated and accepted for publication in Europhysics Letters. 4 figures and 6 pages. Corresponding author: Nai-Chang Yeh (E-mail: [email protected])

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• Scanning tunneling spectroscopy of high-temperature superconductors
• Checkerboard charge density wave and pseudogap in high-$T_c$ cuprates
• Observation of vortices and hidden pseudogap from scanning tunneling spectroscopic studies of electron-doped cuprate superconductor $S{r}_{0.9}L{a}_{0.1}Cu{O}_2$
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